Which of the following relations is not correct?

G = H - T S

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Δ G_{s y s t e m} = Δ H_{s y s t e m} T Δ S_{s y s t e m}

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T Δ S_{s y s t e m} = Δ H_{s y s t e m} - Δ G_{s y s t e m}

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Δ H_{s y s t e m} = Δ G_{s y s t e m} + T Δ S_{s y s t e m}

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Solution

The correct option is A $Δ G_{s y s t e m} = Δ H_{s y s t e m} T Δ S_{s y s t e m}$
$G$ = $H - T S$

$\Rightarrow Δ G_{s y s t e m} = Δ H_{s y s t e m} - T Δ S_{s y s t e m}$

$\Rightarrow T Δ S_{s y s t e m} = Δ H_{s y s t e m} - Δ G_{s y s t e m}$

$\Rightarrow Δ H_{s y s t e m} = Δ G_{s y s t e m} + T Δ S_{s y s t e m}$

Thus, option $B$ is not correct relation.

Hence, the correct option is $B$

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